Multilinear fractional maximal and integral operators with homogeneous kernels, Hardy--Littlewood--Sobolev and Olsen-type inequalities

Cong Chen, Kaikai Yang, Hua Wang

Let $m\in \mathbb{N}$ and $0<\hat{I}\pm <mn$.In this paper, we will use the idea of Hedberg to reprove that the multilinear operators ${\mathcal{T}}_{\hat{I}\text{c◯},\hat{I}\pm ;m}$ and ${\mathcal{M}}_{\hat{I}\text{c◯},\hat{I}\pm ;m}$ are…